An approach to chaotic synchronization

Details An approach to chaotic synchronization An approach to chaotic synchronization

2005-04-23

arxiv.org/abs/nlin/0504045v1

Chaos, 14, 3 (2004) 603-610

Nonlinear Sciences

Chaotic Dynamics

10 pages, 11 figures, published in Chaos, 14, 3 (2004) 603-610

Scientific paper

10.1063/1.1775991

This paper deals with the chaotic oscillator synchronization. A new approach to the synchronization of chaotic oscillators has been proposed. This approach is based on the analysis of different time scales in the time series generated by the coupled chaotic oscillators. It has been shown that complete synchronization, phase synchronization, lag synchronization and generalized synchronization are the particular cases of the synchronized behavior called as "time-scale synchronization". The quantitative measure of chaotic oscillator synchronous behavior has been proposed. This approach has been applied for the coupled R\"ossler systems and two coupled Chua's circuits.

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